Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful. Which of the following statements is correct?
- ASuccess rate is higher for women
- BOverall success rate is below 50%
- CMore men cleared the examination than womenCorrect
- DBoth (A) and (B) above are correct
Explanation
Let's assume a total of 1000 candidates for easy calculation.
-
Initial Distribution: Men: 60% of 1000 = 600 Women: 40% of 1000 = 400
-
Cleared Qualifying Test: Men: 70% of 600 = 420 Women: 75% of 400 = 300
-
Successful in Final Test (Cleared the examination): Men: 80% of 420 = 336 Women: 70% of 300 = 210
Now let's analyze each statement:
A) Success rate is higher for women: Success rate for men = (Successful men / Total men) * 100 = (336 / 600) * 100 = 56% Success rate for women = (Successful women / Total women) * 100 = (210 / 400) * 100 = 52.5% Since 56% > 52.5%, the success rate is higher for men, not women. So, A is incorrect.
B) Overall success rate is below 50%: Total successful candidates = 336 (men) + 210 (women) = 546 Overall success rate = (Total successful / Total candidates) * 100 = (546 / 1000) * 100 = 54.6% Since 54.6% is not below 50%, B is incorrect.
C) More men cleared the examination than women: Men who cleared the examination = 336 Women who cleared the examination = 210 Since 336 > 210, more men cleared the examination than women. So, C is correct.
D) Both (A) and (B) above are correct: Since A and B are incorrect, D is incorrect.
Therefore, the correct statement is C.

Related questions
More UPSC Prelims practice from the same subject and topic.
- Prelims 2015CSATQuantitative Aptitude
In a test, a candidate attempted only 8 questions and secured 50% marks in each of the questions. If he obtained a total of 40% in the test and all questions in the test carried equal marks, how many …
- Prelims 2015CSATQuantitative Aptitude
A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father's and the mother's age is 51 years. What is the age of the son?
- Prelims 2015CSATQuantitative Aptitude
Each of A, B, C and D has Rs 100. A pays Rs 20 to B, who pays Rs 10 to C, who gets Rs 30 from D. In this context, which one of the following statements is not correct?
- Prelims 2015CSATQuantitative Aptitude
Two equal glasses of same type are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot?
- Prelims 2015CSATQuantitative Aptitude
In a parking area, the total number of wheels of all the cars (four- wheelers) and scooters/motorbikes (two-wheelers) is 100 more than twice the number of parked vehicles. The number of cars parked is
- Prelims 2015CSATQuantitative Aptitude
A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair. While preparing the bill, the bill clerk interchanged the number of bl…